The cauchy problem for coupled nonlinear Schrödinger equations with linear damping: Local and global existence and blowup of solutions
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The authors study, by applying and extending the methods developed by Cazenave (2003), Dias and Figueira (2014), Dias et al. (2014), Glassey (1994–1997), Kato (1987), Ohta and Todorova (2009) and Tsutsumi (1984), the Cauchy problem for a damped coupled system of nonlinear Schrödinger equations and they obtain new results on the local and global existence of H 1-strong solutions and on their possible blowup in the supercritical case and in a special situation, in the critical or supercritical cases.
KeywordsNonlinear Schrödinger equations Cauchy problem Blowup of solutions Dissipation
2000 MR Subject Classification35Q55 33A05
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